123314304313314 has 36 divisors (see below), whose sum is σ = 281983263756246. Its totient is φ = 38941359254784.

The previous prime is 123314304313267. The next prime is 123314304313327. The reversal of 123314304313314 is 413313403413321.

123314304313314 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 4 + 304 + 31 + 3 + 314 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92980371172689 + 30333933140625 = 9642633^2 + 5507625^2 .

It is a super-2 number, since 2×123314304313314² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9488628799 + ... + 9488641794.

Almost surely, 2^{123314304313314} is an apocalyptic number.

123314304313314 is an abundant number, since it is smaller than the sum of its proper divisors (158668959442932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123314304313314 is a wasteful number, since it uses less digits than its factorization.

123314304313314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18977270639 (or 18977270617 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 123314304313314 its reverse (413313403413321), we get a palindrome (536627707726635).

The spelling of 123314304313314 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred four million, three hundred thirteen thousand, three hundred fourteen".